Im pretty sure LJK is 54.5 because a triangle equals to 180degrees and since it’s just the shape JKL it would be a triangle. JLK would also be 54.5 so adding 54.5+54.5+71 equals 180. Now for the other triangle since IJL is 42 then LIJ is 69 and JIL is 69 too since 180 - 42 = 138 so 138 divided by 2 is 69. A trapezoid is a total of 360 degrees so 54.5+54.5+71+42+69+69= 360